Entropy optimized chemical reactive Darcy–Forchheimer flow of unsteady viscous fluid with magnetic field

Abstract

Entropy generated in magnetohydrodynamic flow by a porous surface is an examined porous medium through the Darcy–Forchheimer relation is discussed. A thermal expression consists of dissipation, heat generation, Joule heating, and radiation. A first-order chemical reaction is studied. By using appropriate variables, the nonlinear systems are transformed into dimensionless differential systems. The finite-difference technique is employed for the development of computational results. Significant performance of thermal field, velocity, entropy rate, and concentration versus physical parameters are presented graphically. A decrease in velocity is noted for the Forchheimer number and porosity parameter. The behavior of concentration and thermal field is similar to the suction variable. The opposite trend holds for velocity and thermal field for the Hartman number. A larger estimation of radiation parameter and Brinkman number correspond to entropy generation enhancement.

Numerical Study of Entropy Generation with Magnetohydrodynamics on Natural Convection in a Porous Medium using Lattice Boltzmann Method

“…we apply the dimensionless equation Eq. ( 6) to Equation (11)(12)(13) to obtained to Equation (14-16)…”

“…investigates optimization of entropy in Darcy-Forchheimer magnetohydrodynamic flow with Joule heating and viscous dissipation. Hayat et al [12]. present an analysis of the numerical results, including effects of parameters on transfer of heat phenomena, as well as entropy generation.…”